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Allen, Frank B.; And Others – 1960
This is the third part of a three-part SMSG algebra text for high school students. Chapter titles include: Truth Sets of Open Sentences; Graphs of Open Sentences in Two Variables; Systems of Equations and Inequalities; Quadratic Polynomials; and Functions. (MK)
Descriptors: Algebra, Inequality (Mathematics), Mathematics Curriculum, Mathematics Instruction
Allen, Frank B.; And Others – 1959
This is part two of a three-part SMSG algebra text for high school students. The principle objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure exhibited by the real number system, and the use of this structure as a basis for the techniques of algebra. Chapter topics include…
Descriptors: Algebra, Curriculum, Instruction, Mathematics Education
Allen, Frank B.; And Others – 1960
This is part two of a two-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to the exercises, and a set of illustrative test questions. Chapter topics include exponential and logarithmic functions and circular functions. (MP)
Descriptors: Algebra, Curriculum, Curriculum Guides, Instruction
Allen, Frank B.; And Others – 1961
This eleventh unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 9. First a general overview of the entire FIRST COURSE IN ALGEBRA (Units 9 and 10) is provided. Then, a time allotment for each of the chapters in Unit 9 is suggested. For each of the chapters in Unit 9, the goals for that chapter are discussed,…
Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction
Allen, Frank B.; And Others – 1961
This twelfth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 10. For each of the chapters in Unit 10 the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are provided, the answers to exercises are listed, and sample test questions for that chapter are suggested.…
Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction
Allen, Frank B.; And Others – 1962
This is the student text for part one of a three-part SMSG algebra course for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables; operations;…
Descriptors: Algebra, Bilingual Education, Instructional Materials, Mathematics Curriculum
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Allen, Frank B.; And Others – 1959
This is part two of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to exercises, and suggested test questions. Chapter topics include quadratic equations, the complex number system, equations of the second degree, and systems of first degree equations. (MP)
Descriptors: Algebra, Curriculum, Curriculum Guides, Instruction
Allen, Frank B.; And Others – 1959
This is part one of a two-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to exercises, and a set of illustrative test questions. Chapter topics include sets, relations and functions, polynomial functions, and algebra of polynomial functions. (MP)
Descriptors: Algebra, Curriculum, Curriculum Guides, Instruction
Allen, Frank B.; And Others – 1961
Unit 10 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: factors and exponents, radicals, polynomial and rational expressions, truth sets of open sentences, graphs of open sentences in two variables, systems of equations and inequalities, quadratic polynomials, and functions. (DT)
Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction
Allen, Frank B.; And Others – 1961
This twenty-fourth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 23. For each of the chapters in Unit 23, a time allotment is suggested, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, and answers to exercises are provided. In the appendix is a…
Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction
Allen, Frank B.; And Others – 1960
This is a supplementary unit to Mathematics for High School, Intermediate Mathematics, Part 1. In this publication, real numbers and rules for operating them are examined. The study begins by examining whole numbers and some of the properties of addition and multiplication of whole numbers. Most of the basic rules for algebra are developed from…
Descriptors: Algebra, Arithmetic, Instructional Materials, Number Concepts
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Allen, Frank B.; And Others – 1960
This is part three of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to the exercises, and a set of illustrative test questions. Chapter topics include: (1) the system of vectors; (2) polar form of complex numbers; (3) sequences and series; (4) permutations; (5)…
Descriptors: Algebra, Curriculum, Curriculum Guides, Instruction
Allen, Frank B.; And Others – 1961
This twentieth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 18. For each of the chapters in Unit 18, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, answers to exercises are provided, and sample text questions are included. (DT)
Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction
Allen, Frank B.; And Others – 1961
Unit 23 in the SMSG secondary school mathematics series is a student text covering the following topics in matrix algebra: matrix operations, the algebra of 2 X 2 matrices, matrices and linear systems, representation of column matrices as geometric vectors, and transformations of the plane. Listed in the appendix are four research exercises in…
Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction
Allen, Frank B.; And Others – 1964
This is the teacher's commentary for part one of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables;…
Descriptors: Algebra, Bilingual Education, Instructional Materials, Mathematics Curriculum
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